72002240 has 56 divisors (see below), whose sum is σ = 172394880. Its totient is φ = 28643328.

The previous prime is 72002237. The next prime is 72002257. The reversal of 72002240 is 4220027.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70856 + ... + 71864.

It is an arithmetic number, because the mean of its divisors is an integer number (3078480).

Almost surely, 2^72002240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86197440).

72002240 is an abundant number, since it is smaller than the sum of its proper divisors (100392640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72002240 is a wasteful number, since it uses less digits than its factorization.

72002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 72002240 is about 8485.4133664778. The cubic root of 72002240 is about 416.0210788136.

Adding to 72002240 its reverse (4220027), we get a palindrome (76222267).

The spelling of 72002240 in words is "seventy-two million, two thousand, two hundred forty".